2008/03/05 by Maria Calle, Calle, Maria, Darren Lee +1
Mathematics · #49Q05 #53A10 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #msc:49Q05 #msc:53A10
paper · pdf · doi:10.48550/arxiv.0803.0629
12 pages, 3 figures, replaced because of corrupted file
openalex publication_date 2008/03/05 · arxiv created 2008/03/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that there exists a metric with positive scalar curvature on S2xS1 and a sequence of embedded minimal cylinders that converges to a minimal lamination that, in a neighborhood of a strictly stable 2-sphere, is smooth except at two helicoid-like singularities on the 2-sphere. The construction is inspired by a recent example by D. Hoffman and B. White.